What’s the domain and range of f(x)=72-12x

ki77a [65]

This is the only way I can think of this mathematically. This took a good 20 minutes for me. You need to guess and check. Like try 17 quarters, 50 nickels, and 37 dimes etc. until you get 11.00. My numbers are mathematically correct but we both know you cant have 18.909 quarters so. lol

Answer:

Quarters: 18.909

Nickels: 49.818

Dimes: 37.818

Somewhere around those numbers.

Step-by-step explanation:

$11.00 total in coins

Nickel = $0.05

Dime = $0.10

Quarter = $0.25

(n*0.05) + (d*0.10) + (q*0.25)

Solve the equation for q.

$q=\frac{1}{2} d$

(n*0.05) + (d*0.10) +( $\frac{1}{2} d$ *0.25)

Simplify the expression.

9d + 2n = 440

d - n = -12

Multiply both sides of the equation by -9.

-9d + 9n = 108

9d + 2n = 440

Sum the equations vertically to eliminate at least one variable.

11n = 548

$n=\frac{548}{11}$

Substitute the given value of n into the equation d - n = -12

$d-\frac{548}{11} =-12$

$d=\frac{416}{11}$

Substitute the given value of n into the equation $q=\frac{1}{2} d$

$q=\frac{1}{2} *\frac{416}{11}$

$q=\frac{208}{11}$

Finally

$d=\frac{416}{11}$ d = 37.818

$n=\frac{548}{11}$ n = 49.818

$q=\frac{208}{11}$ q = 18.909

6 0

2 years ago

Type your answer and then click or tap Done. Simplify -(x-2y) - y.

AlladinOne [14]

Answer:

Step-by-step explanation:

x(x-2y)-(y-x)2

Final result :

-y2

Step by step solution :

Step 1 :

Equation at the end of step 1 :

x • (x - 2y) - (y - x)2

Step 2 :

2.1 Evaluate : (y-x)2 = y2-2xy+x2

Final result :

-y2

4 0

2 years ago

Read 2 more answers

Charmaine drinks 3 1/2 pints of milk a day. How much is this in cups? Write your answer as a whole number or a mixed number in s

wlad13 [49]

3.5 pints to a cup is 7 cups, whole number

4 0

3 years ago

A Gallup Poll used telephone interviews to survey a sample of 1030 U.S. residents over the age of 18 regarding their use of cred

Vlada [557]

Answer:

The 95% margin of error for this estimate is 0.0274 = 2.74 percentage points.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

72% of Americans said that they had at least one credit card

This means that $p = 0.72$

Give the 95% margin of error for this estimate.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$M = 1.96\sqrt{\frac{0.72*0.28)}{1030}} = 0.0274$

The 95% margin of error for this estimate is 0.0274 = 2.74 percentage points.

7 0

3 years ago

Algebra 1 question 4.

Brrunno [24]

Greetings!

To start this problem, let's first assign a variable for the missing, consecutive odd numbers. Since they are consecutive and odd, we add two.

Proof: 3-1=2, 5-3=2

The first, consecutive, odd number: $x$

The second, consecutive, odd number: $x+2$

The third, consecutive, odd number: $x+4$

The fourth, consecutive, odd number: $x+6$

The sum of the values are equal to 3 times the sum of the first two numbers, of which this is equal to 35 less than the fourth number. Let's create an equation to simplify this:

$3((x)+(x+2))=(x+6)-35$